Combining Texts

All the ideas for 'Remarks on the definition and nature of mathematics', 'Letters to Thomasius' and 'The iterative conception of Set'

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6 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
18192 Do the Replacement Axioms exceed the iterative conception of sets? [Boolos, by Maddy]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
17807 To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17806 It is untenable that mathematics is general physical truths, because it needs infinity [Curry]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
17808 Saying mathematics is logic is merely replacing one undefined term by another [Curry]
9. Objects / D. Essence of Objects / 1. Essences of Objects
13432 The essence of a circle is the equality of its radii [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
12696 Bodies are recreated in motion, and don't exist in intervening instants [Leibniz]